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Algebra Translations Flashcards

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Questions and Answers

What does F(x) + c represent?

Horizontal translation left

Vertical translation down

Vertical translation up (correct)

Reflection over x-axis

What does F(x) - c represent?

Horizontal translation right

Reflection over y-axis

Vertical translation down (correct)

Vertical translation up

What does F(x + c) represent?

Horizontal translation left (correct)

Vertical compression

Horizontal translation right

Vertical stretch

What does F(x - c) represent?

Horizontal translation right Signup and view all the answers

What does -f(x) represent?

Reflection over x-axis Signup and view all the answers

What does F(-x) represent?

Reflection over y-axis Signup and view all the answers

What does Af(x) represent?

Vertical stretch Signup and view all the answers

What does Af(x) where A is a fraction represent?

Vertical compression Signup and view all the answers

What does F(ax) represent?

Horizontal compression Signup and view all the answers

What does F(ax) where A is a fraction represent?

Horizontal stretch Signup and view all the answers

Study Notes

Vertical Translations

F(x) + c: Indicates a vertical translation upward by c units.
F(x) - c: Represents a vertical translation downward by c units.

Horizontal Translations

F(x + c): Signifies a horizontal translation to the left by c units.
F(x - c): Denotes a horizontal translation to the right by c units.

Reflections

-f(x): Demonstrates a reflection of the graph over the x-axis, reversing the y-values.
F(-x): Represents a reflection over the y-axis, reversing the x-values.

Vertical Transformations

Af(x) with A > 1: Indicates a vertical stretch, making the graph taller.
Af(x) with 0 < A < 1: Signifies vertical compression, resulting in a squished graph when A is a fraction.

Horizontal Transformations

F(ax) with A > 1: Indicates horizontal compression, squeezing the graph closer together.
F(ax) with 0 < A < 1: Represents a horizontal stretch, causing the graph to spread out.

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Description

Test your understanding of algebraic translations with these flashcards. Each card features a function transformation along with its definition, helping to solidify your grasp of vertical and horizontal translations, as well as reflections. Perfect for students looking to master this key concept in algebra.